Characteristics of Quadratics (HSC SSCE Mathematics Advanced): Flashcards

$f(x) = ax^2 + bx + c$ where $a \neq 0$

Parabola

Turning point (min or max value)

Concave up (opens upward)

Concave down (opens downward)

$x = \frac{-b}{2a}$

$(0, c)$

$\Delta = b^2 - 4ac$

Two distinct real roots

All real numbers ($\mathbb{R}$)